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Statement of a problem № 287

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A cylindrical disc of a gyroscope of mass m = 15 kg and radius r = 5.0 cm spins with an angular velocity w = 330 rad/s. The distance between the bearings in which the axle of the disc is mounted is equal to L = 15 cm. The axle is forced to oscillate about a horizontal axis with a period T = 1.0 s and amplitude fm = 20°. Find the maximum value of the gyroscopic forces exerted by the axle on the bearings.

Solution:
A cylindrical disc of a gyroscope of mass m = 15 kg and radius  r = 5.0 cm spins

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